In TVW if VW is three meters longer than TV, TW is 20 meters shorter than the sum of VW and TV, and the perimeter of TVW is 74 meters, find the length of VW.

PLEASE EXPLAIN STEPS!!!

The three integers are 5,17 and -10

Step-by-step explanation:

Let x, y and z be three integers then

[tex]x+y+z=12 \ \ \Eqn\ 1[/tex]

'The sum of the first and second integers exceeds the third by 32'

[tex]x+y=z+32\ \ \ \ Eqn\ 2[/tex]

The third integer is 15  less than the first.

[tex]z=x-15\ \ \ \ Eqn\ 3[/tex]

From Eqn 2:

[tex]x+y=z + 32\\x+y-z=32[/tex]

Subtracting Eqn 1 from eqn 2

[tex]x+y-z-(x+y+z)=32-12\\x+y-z-x-y-z=20\\-2z=20[/tex]

Dividing both sides by -2

[tex]\frac{-2z}{-2}=\frac{20}{-2}\\z=-10[/tex]

Putting z=-10 in Eqn 3

[tex]z=x-15\\-10=x-15\\x=15-10\\x=5[/tex]

Putting x=5 and z=-10 in Eqn 1

[tex]x+y+z=12\\5+y-10=12\\y-5=12\\y=12+5\\y=17\\[/tex]

Hence,

The three integers are 5,17 and -10

Keywords: Linear Equations, Variables

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Answer:

First = 5, second = 17, third = -10

Step-by-step explanation:

First integer = x

The third integer is 15 less than the first, so

Third integer = x - 15

The second integer = y

The sum of the first and second integers exceeds the third by 32, so

The sum of the first and second integers = x + y

The third integer = x - 15

x + y is 32 more than x - 15, hence

x + y - 32 = x - 15

y - 32 = -15

y = 32 - 15

y = 17

The second integer = 17

The sum of three integers is 12, so

x + 17 + x - 15 = 12

2x + 2 = 12

2x = 12 - 2

2x = 10

x = 5

x - 15 = 5 - 15 = -10

Answer:

salary based on how many sales are made

Step-by-step explanation:

There are 29 nickles in the pile.

Step-by-step explanation:

Let,

nickles = x

dimes = y

Total coins = 82

Total worth = $6.75 = 6.75*100 = 675 cents

1 nickle = 5 cents

1 dime = 10 cents

According to given statement;

x+y=82    Eqn 1

5x+10y=675   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=82)\\5x+5y=410\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](5x+10y)-(5x+5y)=675-410\\5x+10y-5x-5y=265\\5y=265[/tex]

Dividing both sides by 5;

[tex]\frac{5y}{5}=\frac{265}{5}\\y=53[/tex]

Putting y=53 in Eqn 1

[tex]x+53=82\\x=82-53\\x=29[/tex]

There are 29 nickles in the pile.

Keywords: linear equations, subtraction

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Answer:

16x-20

Step-by-step explanation:

(8x-30)+6x+(2x+10)

8x-30+6x+2x+10

8x+6x+2x-30+10

14x+2x-20

16x-20

Answer:

160 member

Step-by-step explanation:

Here the question is, how many total member are there in the team?

Given: 144 member in the meeting is equal to 90% of the total group.

Let assume x be the total member in the green team.

Now, finding the number of member in the team, which is x.

[tex]\frac{90}{100} \times x = 144[/tex]

Next, cross multiply the number on both the side

⇒ [tex]x= \frac{144 \times 100}{90} = 16\times 10[/tex]

∴ x = 160

160 is the total number of member in green team.

Answer:

160 members

Step-by-step explanation:

How do I know this well 144/90 1.6 take away the decimal and it is 16 add a 0 from the 90 and 160

Answer:

y=2x-1

Step-by-step explanation:

Answer:

The volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.

Step-by-step explanation:

Let the volume of paint required to cover whole car be 'x'.

Given:

Volume of paint to cover one-fifth of a car = one-fourth of a gallon.

We use unitary method to determine the volume of paint required.

∵ One-fifth of a car requires paint = [tex]\frac{1}{4}\ gal[/tex]

∴ Whole volume of car requires paint = [tex]\frac{\frac{1}{4}}{\frac{1}{5}}[/tex]

[tex]=\frac{1}{4}\times \frac{5}{1}\\=\frac{5}{4}\\=1\frac{1}{4}\ gal[/tex]

Therefore, the volume of paint that covers the whole car is [tex]1\frac{1}{4}[/tex] gallons or one and a quarter gallons.

Answer: the answer is B. 5p

Step-by-step explanation:

just did it so i know its right:)

comment if so!

Answer:

The rule which allows us to change the sign of an exponent is called the negative exponent rule.

Step-by-step explanation:

Consider the provided information.

The negative exponent rule is the rule which allows to change the sign of an exponent.

[tex]x^{-1}=\frac{1}{x}[/tex]

According to negative exponent rule: A negative exponents in the numerator moved to the denominator and become positive exponents.

If A negative exponents in the denominator moved to the numerator and become positive exponents.

Hence, the required statement is: The rule which allows us to change the sign of an exponent is called the negative exponent rule.

Answer:

The cost of total lunch is 1.18 y ( 1+ 0.0 x )

Step-by-step explanation:

Given as :

The percentage of tip added tot he bill after tax = 18 %

Let the tax added to the bill = x % of total the lunch price

Let The total lunch cost = y

So, The cost of the lunch after tax = y + x %  × y

I.e The cost of lunch after tax = y × ( 1 +x % )

Or. The bill of lunch after tax = y × ( 1 + 0.0 x )

Now the cost of lunch after tax and tip =18 % of y × ( 1 + 0.0 x ) + y × ( 1 + 0.0 x )

Or, the cost of lunch after tax and tip =  y × ( 1 + 0.0 x ) (0.18 + 1 )

∴ The cost of lunch after tax and tip =  y × ( 1 + 0.0 x ) × 1.18

Hence The cost of total lunch is 1.18 y ( 1+ 0.0 x )  Answer

Number of adults = 40

Number of children = 156

Step-by-step explanation:

Let x be the number of adults and

y be the number of children

Then according to given statements

[tex]x+y=196\ \ \ Eqn\ 1\\2.0x+1.50y = 314\ \ \ Eqn\ 2\\[/tex]

From equation 1:

[tex]x+y = 196\\x = 196-y[/tex]

Putting in equation 2

[tex]2(196-y) + 1.50y = 314\\392-2y+1.50y = 314\\392-0.5y = 314\\-0.5y=314-392\\-0.5y=-78[/tex]

Dividing both sides by -0.5

[tex]\frac{-0.5y}{-0.5} = \frac{-78}{-0.5}\\y = 156[/tex]

Putting y = 156 in equation 1

[tex]x+156 = 196\\x = 196 - 156\\x = 40[/tex]

Hence,

Number of adults = 40

Number of children = 156

Keywords: Linear equations, Variables

Learn more about linear equations at:

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Answer:

Paul Hastings checkbook balance be  $1753

Explanation:

We are given Paul Hastings

current checkbook balance is equal to $1345.00

and a deposit of $423.00  is said to be made in the bank

so the new balance will be addition of this deposit in the current balance also there's a deduction of $15 as service fee.

So the total checkbook balance will be after subtracting $15 from sum of current balance and deposit.

So his checkbook balance = $1345 + $423 - $15

                                             = $1753

which is the required value of checkbook.

To determine the number of days you have read, an equation is set up as 150 - 3x = 60, where x represents the number of days. After solving, it reveals that you have read for 30 days.

To find the number of days, x, that you have read, given that there are 60 pages left and you read 3 pages per day in a 150-page book, we can set up the following equation:

150 - 3x = 60

This equation represents the total number of pages in the book (150) minus 3 pages for each day that you read (3x) equal to the number of pages left (60).

Now, solve for x to determine the number of days you have been reading:

150 - 60 = 3x

90 = 3x

x = 30 days

Therefore, you have been reading for 30 days.

Answer:

y-3=-1/2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

perpendicular means negative reciprocal of the current slope,

and the negative reciprocal of 2 is -1/2.

y-3=-1/2(x-4)

Answer:

In the recipe are 1,656 milliliters of milk

Step-by-step explanation:

The correct question is

A recipe for ice cream calls for 1.656 liters of milk.How many millimeters of milk are in the recipe?

Remember that

[tex]1\ liter=1,000\ milliliters[/tex]

To convert liters to milliliters multiply by 1,000

so

[tex]1.656\ L=1.656(1.000)=1,656\ mL[/tex]

therefore

In the recipe are 1,656 milliliters of milk

Answer:

x = 5 and y = 14

Step-by-step explanation:

Given [tex]\triangle[/tex]ABC[tex]\cong \triangle[/tex]DEF.

Congruent triangles have congruent corresponding parts, so

[tex]AB\cong DE\\ \\AC\cong DF\\ \\BC\cong EF[/tex]

Since

[tex]AB=8\\ \\BC=19\\ \\AC=14\\ \\EF=4x-1\\ \\DE=y-6,[/tex]

then

[tex]4x-1=19\\ \\4x=19+1\\ \\4x=20\\ \\x=5[/tex]

and

[tex]y-6=8\\ \\y=8+6\\ \\y=14[/tex]

Answer:

well if it is a square then 10ft by 10ft. Otherwise, since you haven't given me the scale drawing, just find the area through 5cm. Then multiply your answer by 2 and instead of cm have ft.

Step-by-step explanation:

Answer:

314 of the people attending the fun fair are people living in the neighborhood

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

314 of the people attending the fun fair are people living in the neighborhood

Answer:

4 times more

Step-by-step explanation:

80/20=4

Answer:

-12

Step-by-step explanation:

x - 8 = -20  (add 8 to both sides)

x = -20 + 8

x = -12

Answer:

-12

Step-by-step explanation:

-12 + -8 is -20.

x= -12 because if you added 28 or 12, the answer would be positive. If you subtracted -28 from -8 your answer would be -36.

So the only answer is -12.

Answer: The answer is -9

Step-by-step explanation:

7z<-28= -9

Because we take the -28 and add 19 because that's the common denominator and we come up with -9

Answer:

C = 80pF

Step-by-step explanation:

The total capacitance of 4 capacitors connected in series is given by:

[tex]Ct = \frac{1}{1/C1 + /C2 + 1/C3 + 1/C4}[/tex]

[tex]Ct = \frac{1}{1/C + /C + 1/C + 1/C}[/tex]

[tex]Ct = \frac{1}{4/C}[/tex]

[tex]Ct = \frac{C}{4}=20pF[/tex]

Solving for C:

C = 4*20pF

C = 80pF

Answer:

it would be 0.2

Step-by-step explanation:

When you multiply 0.4*0.5 it would equal 0.2 since 4*5=20 then 4.0*0.5= 0.2 since 0.2 in fraction form is 2/10 or 20/100.

Answer:

We call a 21-sided polygon a Henacosagon.

Explanation:

See chart above

* 9 − nona-

I am joyous to assist you anytime.

The name of a 21 sided polygon is Henicosagon.

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is its body.

Given that, what is the name of a 21 sided polygon,

Polygons have very simple names for the first twenty names.

They use a basic prefix naming system. Di, tri, tetra, penta, and so on.

But polygons with 21 to 99 sides have a different naming system.

First, we use a prefix for the tens (such as triaconta—30). Then we use a prefix for the ones (such as di—20).

At last, we put them together with a ‘kai’ between them. This would be formatted to look like (tens)kai(ones)gon.

In simpler words, a 32-sided polygon. We can normally refer to it as a 32-gon.

Hence, the name of a 21 sided polygon is Henicosagon.

Learn more about polygons, click;

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Answer:

She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

Now, to find the rate in feet per second.

1 yard = 3 foot.

1 minute = 60 seconds.

So, first we find the rate of walking per second in yard = [tex]90\div 60[/tex]

Therefore by dividing we get = [tex]1.5 yard[/tex]

Now, we find the rate of walking per second in feet = [tex]1.5\times 3[/tex]

So, by multiplying we get = [tex]4.5 feet[/tex]

Therefore, she is going at the rate of 4.5 feet per second.

Answer:

Step-by-step explanation:

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange y - 2x = 3 into this form by adding 2x to both sides

y = 2x + 3 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of line

you need to put the decimal somewhere but if it comes at the beginning then 203463is your answer.

Answer:

here is an actual answer

203463

Step-by-step explanation:

Answer:

982.695

Step-by-step explanation:

9.359 x 105 = 982.695

Answer:

B) -x+8

Step-by-step explanation:

8-4(x-6)=8-4x+24=-4x+32

(-4x+32)/4=-x+8

Answer:

the answer is B did it on edge

Step-by-step explanation:

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